Answer:
there are 4 times larger
Step-by-step explanation: 11 x 4 = 44 so its 4 times larger
a rectangular parking lot has a length that is 420 yards greater than the width. the area of the parking lot is 13 square yards. find the length and the width.
The length and the widths are 420.031 yards and 0.031 yards if a rectangular parking lot has a length that is 420 yards greater than the width.
What is a rectangle?It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
Let L be the length and W be the width of the rectangle.
From the question:
L = 420 + W (based on the data given in the question)
LW = 13
(420 + W)W = 13
W² + 420W - 13 = 0
After solving the above quadratic equation:
W = 0.031, W = -420.03 (width cannot be negative)
W = 0.031 yards (which is not practical but from a mathematical point of view it can be considered)
L = 420 + 0.031 = 420.031 yards
Thus, the length and the widths are 420.031 yards and 0.031 yards if a rectangular parking lot has a length that is 420 yards greater than the width.
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Consider the three-place Boolean function f defined by the following rule:
For each triple
(x1, x2, x3)
of 0's and 1's,
f(x1, x2, x3) = (7x1 + 2x2 + 4x3) mod 2.
(a)
Find
fâ(1, 1, 1) and fâ(0, 0, 1).
fâ(1, 1, 1)
=
fâ(0, 0, 1)
=
(b)
Describe f using an input/output table.
Input Output
x1 x2 x3 f
1 1 1 1 1 0 1 0 1 1 0 0 0 1 1 0 1 0 0 0 1 0 0 0
Considering the three-place Boolean function f defined
(a) f(1, 1, 1) = (7(1) + 2(1) + 4(1)) and f(0, 0, 1) = (7(0) + 2(0) + 4(1))
(b) Using an input/output table f is an odd parity function.
A Boolean function is a mathematical function that takes input values and returns a binary output value. In the given problem, the three-place Boolean function f is defined by the rule (7x1 + 2x2 + 4x3) mod 2, where x1, x2, and x3 are binary inputs.
To find f(1, 1, 1), we substitute x1=1, x2=1, and x3=1 in the given function. Therefore, f(1, 1, 1) = (7(1) + 2(1) + 4(1)) mod 2 = 1.
Similarly, to find f(0, 0, 1), we substitute x1=0, x2=0, and x3=1 in the given function. Therefore, f(0, 0, 1) = (7(0) + 2(0) + 4(1)) mod 2 = 0.
To describe f using an input/output table, we consider all possible input combinations of x1, x2, and x3 and evaluate the function for each combination. The resulting input/output table is as follows:
Input Output
x1 x2 x3 f
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 1
1 0 0 1
1 0 1 1
1 1 0 1
1 1 1 0
From the input/output table, we can see that the function f returns 1 when the sum of 7x1, 2x2, and 4x3 is odd and returns 0 when it is even. Thus, we can conclude that f is an odd parity function.
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Triangle ABC is shown below. What is the measure of angle??
An angle measures 36° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
Measure of each angle is 108 and 72 degrees.
Step-by-step explanation:
Let's the angle be "n"
Supplementary angle = 180 °
n- (180-x) = 36
n - 180 + n = 36
Combine like terms
n - 180 + n = 36
2n - 180 = 36
Add 180 to both sides of the equation
2n - 180+180 = 36+180
Simplify
2n = 216
Divide both sides of the equation by the same term
2n/2 = 216/2
Simplify
n = 108
2n = 216
Measure of each angle
1st = 108
2nd = 180-108 = 72
[RevyBreeze]
Answer:
An angle measures 36° more than the measure of its supplementary angle. What is the measure of each angle?
Step-by-step explanation:
Let's the angle be "n"
Supplementary angle = 180 °
n- (180-x) = 36
n - 180 + n = 36
Combine like terms
n - 180 + n = 36
2n - 180 = 36
Add 180 to both sides of the equation
2n - 180+180 = 36+180
Simplify
2n = 216
Divide both sides of the equation by the same term
2n/2 = 216/2
Simplify
n = 108
2n = 216
Measure of each angle
1st = 108
2nd = 180-108 = 72
Find the value of x.
Round to the nearest tenth.
34
A
B
26°
x = [? ]°
X
C
15
Answer: 83.5
Step-by-step explanation:
\(\frac{\sin x}{34}=\frac{\sin 26^{\circ}}{15} \\\\\sin x=\frac{34 \sin 26^{\circ}}{15}\\\\x=sin^{-1} \left(\frac{34 \sin 26^{\circ}}{15} \right) \approx \boxed{83.5}\)
Answer:
x ≈ 83.5° or 96.5° (two possible values)
Step-by-step explanation:
The relationship between side lengths of a triangle and their opposite angles is given by the Law of Sines: side lengths are proportional to the sines of their opposite angles.
__
In this problem, the Law of Sines tells us ...
sin(A)/BC = sin(C)/AB
sin(C) = sin(A)·AB/BC
Using x for angle C, solving for x, and using the inverse sine function, we find ...
x = arcsin(sin(26°)·34/15) ≈ arcsin(0.993641)
The arcsine function returns a value in the range 0–90°, but the supplemental angle in the rangle 90°–180° can have the identical sine value.
x ≈ 83.5° or 96.5°
_____
Additional comment
For the graph in the attachment, we have set the angle mode to degrees. The solutions to f(x)=0 are solutions to the problem: 83.5° and 96.5°.
The triangle in the figure appears to be an acute triangle. The value of x for an acute triangle would be 83.5°. Often, we cannot take these figures at face value.
Your teacher is giving you a test tomorrow with 2- and 4-point questions for a total of 100 points. The number of 4 points questions is one-third the number of 2-point questions. How many 2- and 4-point questions are on the test?
Answer:
25 4-point questions and 75 2-point questions
Step-by-step explanation:
Let x = no. of 4-point questions
Then 3x = no. of 2-point questions
So, x + 3x = 100
4x = 100
x = 25 = no. of 4-point questions
and 3x = 3(25) = 75 = no. of 2-point questions
What would be the angle for M
Answer:
180-124-33=23
when the null hypothesis is not rejected, it is possible a type i error has occurred. possible a type ii error has occurred. possible either a type i or a type ii error has occurred. not possible a type ii error has occurred.
When a null hypothesis is not rejected, a type ii error has occurred.
What is a null hypothesis?A null hypothesis being a statistical hypothesis, states that no statistical significance can be present in a set of observations. Usually, hypothesis testing is a method used to judge the veracity of a given sample.
Sometimes, it is called just null, or even it has a symbol, viz, \(H_0\).
We consider generally 4 cases:
\(H_0\) is accepted when \(H_0\) is true ⇒ A correct decision\(H_0\) is rejected but is true⇒ Type i error has occurred and is rejected by us, null hypothesis is present\(H_0\) is false but is accepted by us⇒ Type ii error has occurred, null hypothesis is not present. \(H_0\) is false and is rejected⇒ A correct decision.According to the given question, we have not rejected the null hypothesis.
Thus, we have two options present, either the type ii error has occurred and null hypothesis is not present, or the null hypothesis is present.
Concluding, when a null hypothesis is accepted, it is possible that a type ii error has occurred.
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like y'all is so nice for helping me because this work is so hard so can yall help me
Find the nth taylor polynomial for the function, centered at c. f(x) = 1x^2 , n = 4, c = 4
Nth taylor taylor polynomial for n=4 and c=4 of the function \(1/x^{2}\)is 1/16-1/32(x-4)+6/256/2! \((x-4)^{2}\)-24/1024/3!\((x-4)^{3}\)+120/4096 /4!\((x-4)^{4}\)+.................\(f^{n}/n! (x-4)^{n}\).
Given function f(x)=1/\(x^{2}\), n=4 and c=4.
We are required to find the nth taylor polynomial for the function.
Polynomial is a combination of symbols, numbers and algebraic operations.
nth taylor polynomial for the function centered at c is given as under:
\(P_{n} (x)\)=f(c)+\(f^{I} (c)/1! (x-c)+ f^{II} (c)/2! (x-c)^{2} +f^{III} (c)/3! (x-c)^{3}+.....................f^{n}/n! (x-3)^{n}\)
Because c=4 so we have to put c=4.
=f(4)+\(f^{I} (4)/1! (x-4)+ f^{II} (4)/2! (x-4)^{2} +f^{III} (4)/3! (x-4)^{3}+.....................f^{n}/n! (x-3)^{n}\)
Now, we have to put the value of function be \(1/x^{2}\).
f(4)=1/\(4^{2}\)=1/16
\(f^{I} (4)\)=\(-2/(4)^{3}\)=-2/64=-1/32
\(f^{II}(4)=6/(4)^{4}\)=6/256
\(f^{111}(4)\)=-24/\(4^{5}\)=-24/1024
\(f^{1111} (4)\)=120/\(4^{6}\)=120/4096
So, taylor polynomial for n=4 and c=4 is 1/16-1/32(x-4)+6/256/2! \((x-4)^{2}\)-24/1024/3!\((x-4)^{3}\)+120/4096 /4!\((x-4)^{4}\)+.................\(f^{n}/n! (x-4)^{n}\).
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What is the quotient of three and two thirds divided by 3 fifths?
quotient = the answer to a division problem
ex. 6/3 = 2The quotient of 6 and 3 is 2.To divide by a fraction, multiply by the reciprocal of the fraction
reciprocal of a fraction = the numerator and denominator are reversed
Solving the QuestionFirst, convert "three and two thirds" into an improper fraction:
\(3\dfrac{2}{3}\)
⇒ Multiply the whole number by the denominator and add the numerator:
\(\dfrac{11}{3}\)
Now, we want to divide this number by three fifths:
\(\dfrac{11}{3}\div\dfrac{3}{5}\)
⇒ Dividing by a fraction is the same as multiplying by its reciprocal:
\(= \dfrac{11}{3}\times\dfrac{5}{3}\\\\=\dfrac{55}{9}\)
Answer\(\dfrac{55}{9}\)
theannswer wold be 100 .33 .87
What is a correct representation of X +5 using algebra tiles?
Answer:
Im pretty sure its D
Step-by-step explanation:
a to the power of -8
\( {a}^{ - 8} \)
Answer:
a -8 power
Step-by-step explanation:
yes you do that the same way
a bottle water distributor wants to estimate the amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company. the water bottling company's specifications state that the standard deviation of the amount of water is equal to 0.03 gallons. a random sample of 50 bottles is selected, and the sample mean amount of water per 1-gallon bottle is 0.942 gallons. construct a 95% confidence interval for the population mean amount of water included in a 1-gallon bottle. round to 4 decimal places. what is the point estimate? (round to 3 decimal places) what is the standard error? (round to 4 decimal places) what is the critical value? (round to 2 decimal places) what is the margin of error? (round to 4 decimal places) we are 95% confident that the true mean is between and . (round to 4 decimal places) on the basis of these results, do you think that the distributor has a right to complain to the water bottling company? (yes or no)
The point estimate is 0.942 gallons.
The standard error is 0.00424.
The critical value is 2.009.
The margin of error is 0.0085.
We are 95% confident that the true mean amount of water included in a 1-gallon bottle is between 0.9335 and 0.9505 gallons.
Based on these results, we cannot say for sure whether the distributor has a right to complain to the water bottling company.
To construct a 95% confidence interval for the population mean amount of water included in a 1-gallon bottle, we need to use the following formula:
Confidence interval = sample mean ± (critical value x standard error)
The point estimate is the sample mean amount of water per 1-gallon bottle, which is 0.942 gallons.
The standard error is calculated using the formula:
Standard error = standard deviation / √(sample size)
In this case, the standard deviation is 0.03 gallons and the sample size is 50. Therefore:
Standard error = 0.03 / √(50) ≈ 0.00424
The critical value is obtained from a t-distribution table with a degrees of freedom of 49 and a confidence level of 95%, which gives a value of 2.009.
The margin of error is calculated by multiplying the critical value by the standard error, which gives:
Margin of error = 2.009 x 0.00424 ≈ 0.0085
Therefore, the 95% confidence interval is:
0.942 - 0.0085 = 0.9335
0.942 + 0.0085 = 0.9505
The confidence interval tells us that the population mean could be between 0.9335 and 0.9505 gallons, but we don't know what the true value actually is. If the distributor's expectations fall within this range, they may not have a legitimate complaint.
However, if the actual mean amount of water is significantly lower than the lower end of the confidence interval, the distributor may have a valid complaint.
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a car has four regular tires and a spare tire. the car is driven 10000 miles, and the tires are rotated so that all five tires are used equally. how many miles are driven on each tire? (a) 2000 (b) 2500 (c) 5000 (d) 7500 (e) 8000
The correct option (a) 2000, is the miles are driven on each tire.
Explain the term division of the number?Multiplication is the exact reverse of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. Creating equal groups or determining how many people comprise each group after a fair distribution is the basic objective of division.For the stated question-
A automobile has a spare tire in addition to four conventional tires. Tires is rotated thus all five are used equally after 10,000 miles of driving.Miles are driven on each tire = Total distance/number of tires.
Miles are driven on each tire = 10000/5
Miles are driven on each tire = 2000
Thus, the number of miles are driven on each tire is 2000 miles.
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factorise fully 12x - 8
Answer:
4(3x-2)
Step-by-step explanation:
Have a great day :)
Please help me with this one ☝️
Answer:
c
Step-by-step explanation:
I did this question before
what is -1/6 to the fifth power in fraction form
Answer:
The answer is 12860082/100000000000
The fraction form of the expression is -1/7776.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
\((-1/6)^5\)
This can be simplified as,
= \(\frac{(-1)^5}{6^5}\)
= -1/7776
Thus,
The fraction form of the expression is -1/7776.
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Diego bought some raisins and walnuts to make trailmix. Raisins cost $4 a pound and walnuts cost $8 apound.Diego spent $24 on both ingredients. Diego bought atotal of 5 pounds of raisins and walnuts combined.There are two constraints represented here (COST &WEIGHT).Write an equation for each constraint. This shouldcreate a system of linear equations.Let x = pounds of raisinsy = pounds of walnuts
Let x = pounds of raisins
Let y = pounds of walnuts
The first linear equation for the system is representing COST
\(\text{ \$4x + \$8y = \$24}\)The second linear equation for the system is representing WEIGHT
\(x\text{ + y = 5}\)Hence the two-equation for each constraint are
\(\begin{gathered} \text{\$4x + \$8y = \$24} \\ x\text{ + y = 5} \\ \end{gathered}\)State whether each figure has a line of symmetry (yes or no.) If so, draw all possible lines of symmetry. (Some may have more than one.)
Answer:
Step-by-step explanation:
Question 9 of 10
Which of the following equations is an example of inverse variation between
the variables x and y?
Y=x/3
Y=3x
Answer:
1st one........,..............
Solve the following systems of five linear equation both with inverse and left division methods 2.5a-b+3e+1.5d-2e = 57.1 3a+4b-2c+2.5d-e=27.6 -4a+3b+c-6d+2e=-81.2 2a+3b+c-2.5d+4e=-22.2 a+2b+5c-3d+4e=-12.2
The solution for the given system of linear equations is a ≈ -1.13, b ≈ -4.01, c ≈ 2.75, d ≈ 9.22, and e ≈ -6.09.
1. Write the given equations in matrix form (A * X = B), where A is the matrix of coefficients, X is the matrix of variables (a, b, c, d, e), and B is the matrix of constants (57.1, 27.6, -81.2, -22.2, -12.2).
2. To solve using inverse method, first, find the inverse of matrix A (A_inv). Use any tool or method for matrix inversion, such as Gaussian elimination or Cramer's rule.
3. Multiply A_inv with matrix B (A_inv * B) to obtain the matrix X, which contains the solutions for a, b, c, d, and e.
4. For the left division method, you can use MATLAB or Octave software. Use the command "X = A \ B" to obtain the matrix X, which contains the solutions for a, b, c, d, and e.
After performing the calculations, the approximate solutions are a ≈ -1.13, b ≈ -4.01, c ≈ 2.75, d ≈ 9.22, and e ≈ -6.09.
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HELP! BRAINLIST! THIS IS DUE IT IS END OF UNIT ASSESSMENT
The surface area of the cone is approximately 793.10 cm².
What is cone?
A cone is a three-dimensional geometric shape that tapers smoothly from a flat base (usually circular) to a point called the apex or vertex.
What is area of cone?
The surface area of a cone is given by the formula:
Surface Area = πr² + πrℓ
where r is the radius of the circular base and ℓ is the slant height of the cone.
According to given information:To find the surface area of a cone, we need to find the area of its base and the area of its lateral surface and then add them together.
The formula for the lateral surface area of a cone is given by:
L = πrℓ
where r is the radius of the base and ℓ is the slant height of the cone.
The formula for the area of the base of a cone is given by:
B = πr²
where r is the radius of the base.
Given the slant height ℓ = 19 and the radius r = 9, we can find the lateral surface area of the cone as follows:
L = πrℓ
= π(9)(19)
≈ 538.63 cm²
Next, we can find the area of the base of the cone as follows:
B = πr²
= π(9)²
≈ 254.47 cm²
Therefore, the surface area of the cone is:
A = B + L
≈ 793.10 cm²
So, the surface area of the cone is approximately 793.10 cm².
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seven people were chosen from a pool of 21 people tested that resulted in an outcome of 33%. this is an example of a ratio. break-even selection furlough retention turnover
It is important to note that the term "break-even," "selection," "furlough," "retention," or "turnover" does not directly apply to this scenario.
The given scenario, where seven people were chosen from a pool of 21 people and resulted in an outcome of 33%, is an example of a ratio.
In this case, the ratio is calculated as the number of chosen individuals (7) divided by the total number of individuals in the pool (21), resulting in a ratio of 7/21 or 1/3. This ratio represents the proportion or percentage of the pool that was selected.
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Question 2 Part a
Let's revisit Kinko's problem familiar to us from previous assignments. Kinko spends all his money on whips and leather jackets. Now, Kinko's utility function is U(x, y) = min{x^1/2+y^1/2,x/4+y), where x is his consumption of whips and y is his consumption of leather jackets. Kinko is consuming 4 whips and 16 leather jackets. The price of whips is $6. Find Kinko's income. Make sure to draw Kinko's indifference curves and budget line to show your answer.
Question 2 Part b
Now, imagine that the price of leather jackets increases by 16 times. What will Kinko's optimal consumption be now?
Part a: Kinko's income is $280.
Part b: Kinko's optimal consumption will change due to the increased price of leather jackets, but the specific values cannot be determined without further calculations.
To find Kinko's income, we need to determine his budget line based on his current consumption and the price of whips. Kinko is consuming 4 whips and 16 leather jackets, and the price of whips is $6.
The budget line equation is given by: Px * x + Py * y = I, where Px is the price of whips, Py is the price of leather jackets, x is the consumption of whips, y is the consumption of leather jackets, and I is the income.
Since Kinko spends all his money on whips and leather jackets, his income equals the total expenditure on these goods. Thus, the budget line equation becomes: 6x + 16y = I.
We can substitute Kinko's consumption values into the equation: 6 * 4 + 16 * 16 = I.
Simplifying, we have: 24 + 256 = I.
Therefore, Kinko's income is $280.
To visualize this, we can plot Kinko's indifference curves and the budget line on a graph with whips (x) on the horizontal axis and leather jackets (y) on the vertical axis.
The budget line represents all the affordable combinations of whips and leather jackets given Kinko's income and the prices. The indifference curves represent Kinko's preferences, showing the combinations of whips and leather jackets that provide him with the same level of utility.
Part b:
If the price of leather jackets increases by 16 times, the new price of leather jackets becomes $16 * Py = $16 * 1 = $16.
To determine Kinko's optimal consumption, we need to find the new tangency point between an indifference curve and the new budget line. Since Kinko's utility function is non-standard, we need to use calculus to find the optimal consumption bundle.
Using the Lagrange multiplier method, we set up the following optimization problem:
Maximize U(x, y) = min{x½ + y½, x/4 + y}
Subject to the constraint: Px * x + Py * y = I, where Px = $6 and Py = $16.
By solving the optimization problem, we can find the new optimal consumption bundle in terms of whips (x) and leather jackets (y).
However, without the specific values for x and y, it is not possible to provide the exact optimal consumption bundle in one line.
The solution would involve finding the tangency point between the new budget line (with the increased price of leather jackets) and the indifference curves, and determining the corresponding values of x and y.
Therefore, without further information, we can only state that Kinko's optimal consumption will change due to the change in the price of leather jackets, but we cannot provide the specific values without additional calculations.
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What shows the possible outcomes of a random experiment and the probability of each outcome?
a) A Probability Distribution
b) A Random Number Table
c) A Stem and Leaf Plot
d) A Scatter Diagram
(a) A Probability Distribution is the only ways that shows the possible outcomes of a random experiment and the probability of each outcome.
The possible outcomes of a random experiment are the different outcomes that can occur when you perform an experiment.
The probability of each outcome is the chance of that outcome occurring.
A probability distribution is a table that shows the relative frequencies or chances of different outcomes occurring in a random experiment. The example below shows a probability distribution for flipping a coin:
In a random experiment, the possible outcomes are called outcomes. There are three types of outcomes: successes, failures, and ties. A success is when an event happens exactly as planned for it to happen. A failure is when an event doesn't happen at all or doesn't happen in the way that was expected.
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Pls halp due today >_<. Thank you
Answer:
>
Step-by-step explanation:
Pretty self explanatory but if you pop it in your calculator the left is greater.
Sqrt(2) + 3 = 4.4
Sqrt(7) - 3 = -0.35
The correct answer is,
Sqrt(2) + 3 > sqrt(7) - 3
Find the interest when the interest is 4.5 times the principal, the principle is p and the time period is 13.5 years
Plz help!!!!
Answer: Interest will be 3%
Step-by-step explanation:
4.5x = x * r * 13.5
4.5x = 13.5x*r
r = 13.5x/4.5x = 3%
Answer:
Interest will be 3%
Step-by-step explanation:
4.5x = x * r * 13.5
4.5x = 13.5x*r
r = 13.5x/4.5x = 3%
Thank you!
Can anyone help me with this question?
Answer: Side SK
Step-by-step explanation:
x^2 - 20x + 100
What is the degree of this polynomial?
Answer:
2nd
Step-by-step explanation:
the highest exponent value is the degree.
if I had \(x^{6} x^{2} x^{-7}\) , the degree would be 6.